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Although Shapley additive explanations (SHAP) can be computed in polynomial time for simple models like decision trees, they unfortunately become NP-hard to compute for more expressive black-box models like neural networks - where…

Machine Learning · Computer Science 2026-03-23 Reda Marzouk , Shahaf Bassan , Guy Katz

The Shapley value (SV) is a prevalent approach of allocating credit to machine learning (ML) entities to understand black box ML models. Enriching such interpretations with higher-order interactions is inevitable for complex systems, where…

Machine Learning · Computer Science 2025-01-17 Fabian Fumagalli , Maximilian Muschalik , Patrick Kolpaczki , Eyke Hüllermeier , Barbara Hammer

Shapley values are ubiquitous in interpretable Machine Learning due to their strong theoretical background and efficient implementation in the SHAP library. Computing these values previously induced an exponential cost with respect to the…

Machine Learning · Computer Science 2022-12-06 Gabriel Laberge , Yann Pequignot

While shallow decision trees may be interpretable, larger ensemble models like gradient-boosted trees, which often set the state of the art in machine learning problems involving tabular data, still remain black box models. As a remedy, the…

Machine Learning · Computer Science 2024-06-21 Maximilian Muschalik , Fabian Fumagalli , Barbara Hammer , Eyke Hüllermeier

Recent studies have examined the computational complexity of computing Shapley additive explanations (also known as SHAP) across various models and distributions, revealing their tractability or intractability in different settings.…

Machine Learning · Computer Science 2025-02-19 Reda Marzouk , Shahaf Bassan , Guy Katz , Colin de la Higuera

We show how to replace the O(2^n) coalition enumeration over n features behind Shapley values and Shapley-style interaction indices with a few-evaluation scheme on a tensor-network (TN) surrogate: TN-SHAP. The key idea is to represent a…

Machine Learning · Computer Science 2025-10-29 Farzaneh Heidari , Chao Li , Guillaume Rabusseau

When using machine learning techniques in decision-making processes, the interpretability of the models is important. Shapley additive explanation (SHAP) is one of the most promising interpretation methods for machine learning models.…

Machine Learning · Computer Science 2022-08-08 Yasunobu Nohara , Toyoshi Inoguchi , Chinatsu Nojiri , Naoki Nakashima

Multimodal AI models have achieved impressive performance in tasks that require integrating information from multiple modalities, such as vision and language. However, their "black-box" nature poses a major barrier to deployment in…

Artificial Intelligence · Computer Science 2026-02-18 Zhanliang Wang , Kai Wang

Predominately in explainable artificial intelligence (XAI) research, the Shapley value (SV) is applied to determine feature attributions for any black box model. Shapley interaction indices extend the SV to define any-order feature…

Machine Learning · Computer Science 2023-10-31 Fabian Fumagalli , Maximilian Muschalik , Patrick Kolpaczki , Eyke Hüllermeier , Barbara Hammer

Integrating AI in healthcare can greatly improve patient care and system efficiency. However, the lack of explainability in AI systems (XAI) hinders their clinical adoption, especially in multimodal settings that use increasingly complex…

Machine Learning · Computer Science 2025-04-18 Laura Wenderoth , Konstantin Hemker , Nikola Simidjievski , Mateja Jamnik

Shapley values are a standard tool for explaining predictions of tree ensembles, with Path-Dependent SHAP being the most widely used variant. Despite substantial progress, existing methods still exhibit trade-offs between depth-dependent…

Machine Learning · Computer Science 2026-05-07 Ron Wettenstein , Rory Mitchell , Peng Yu

Addressing the limitations of individual attribution scores via the Shapley value (SV), the field of explainable AI (XAI) has recently explored intricate interactions of features or data points. In particular, extensions of the SV, such as…

Computer Science and Game Theory · Computer Science 2024-03-04 Patrick Kolpaczki , Maximilian Muschalik , Fabian Fumagalli , Barbara Hammer , Eyke Hüllermeier

The Faithful Shapley Interaction (FSI) index uniquely satisfies the faithfulness axiom among Shapley interaction indices, but computing FSI requires $O(d^\ell \cdot 2^d)$ time and existing implementations use $O(4^d)$ memory. We present…

Machine Learning · Computer Science 2026-01-06 Ungsik Kim , Suwon Lee

Originally rooted in game theory, the Shapley Value (SV) has recently become an important tool in machine learning research. Perhaps most notably, it is used for feature attribution and data valuation in explainable artificial intelligence.…

Recent high-performing Human-Object Interaction (HOI) detection techniques have been highly influenced by Transformer-based object detector (i.e., DETR). Nevertheless, most of them directly map parametric interaction queries into a set of…

Computer Vision and Pattern Recognition · Computer Science 2022-06-14 Yong Zhang , Yingwei Pan , Ting Yao , Rui Huang , Tao Mei , Chang-Wen Chen

The Shapley value is a prominent tool for interpreting black-box machine learning models thanks to its strong theoretical foundation. However, for models with structured inputs, such as graph neural networks, existing Shapley-based…

Machine Learning · Computer Science 2024-05-24 Ngoc Bui , Hieu Trung Nguyen , Viet Anh Nguyen , Rex Ying

In Explainable AI (XAI), Shapley values are a popular model-agnostic framework for explaining predictions made by complex machine learning models. The computation of Shapley values requires estimating non-trivial contribution functions…

Machine Learning · Computer Science 2026-01-27 Lars Henry Berge Olsen , Martin Jullum

This paper presents a method to build explicit tensor-train (TT) representations. We show that a wide class of tensors can be explicitly represented with sparse TT-cores, obtaining, in many cases, optimal TT-ranks. Numerical experiments…

Numerical Analysis · Mathematics 2022-06-16 Gleb Ryzhakov , Ivan Oseledets

There is a significant expansion in both volume and range of applications along with the concomitant increase in the variety of data sources. These ever-expanding trends have highlighted the necessity for more versatile analysis tools that…

Numerical Analysis · Mathematics 2021-09-09 Ilya Kisil , Giuseppe G. Calvi , Kriton Konstantinidis , Yao Lei Xu , Danilo P. Mandic

In recent years, the Shapley value and SHAP explanations have emerged as one of the most dominant paradigms for providing post-hoc explanations of black-box models. Despite their well-founded theoretical properties, many recent works have…

Machine Learning · Computer Science 2025-02-21 James Enouen , Yan Liu
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